US20080273635A1 - Frequency-offset estimation - Google Patents
Frequency-offset estimation Download PDFInfo
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- US20080273635A1 US20080273635A1 US11/743,983 US74398307A US2008273635A1 US 20080273635 A1 US20080273635 A1 US 20080273635A1 US 74398307 A US74398307 A US 74398307A US 2008273635 A1 US2008273635 A1 US 2008273635A1
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
- H04L2027/0024—Carrier regulation at the receiver end
- H04L2027/0026—Correction of carrier offset
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/0014—Carrier regulation
- H04L2027/0044—Control loops for carrier regulation
- H04L2027/0063—Elements of loops
- H04L2027/0067—Phase error detectors
Definitions
- the invention relates to the estimation of an overall frequency-offset on the basis of a plurality of frequency-offset estimates and further to the estimation of a quantity representative of a signal-to-noise ratio.
- the invention relates to communications systems and receiver.
- a mobile station may be connected to multiple base stations at the same time.
- frequency-offset correction in the mobile station is typically not done separately for each base station.
- frequency offset correction aims at correcting offsets of the frequency generating device.
- a single device is used as a reference for frequency generation. Therefore, if frequency-offset estimates are obtained by measurement from a plurality of signal sources such as, for example, base stations to which the mobile station is connected, a strategy has to be devised of how to combine these multiple frequency-offset estimates into a single value, i.e. an overall frequency-offset estimate.
- an efficient strategy for combining the frequency-offset estimates into a single value is desirable.
- quantities representative of signal-to-noise ratios of signals in a radio receiver are known to be necessary for many applications and are used in a radio receiver for a variety of computations. Therefore, efficient algorithms and circuitry to generate signal-to-noise estimates in a radio receiver are desirable.
- FIG. 1 is a block diagram showing basic functional blocks of a receiver
- FIG. 2 is a block diagram of the automatic frequency control unit shown in FIG. 1 ;
- FIG. 3 is a schematic illustration of an embodiment of the combiner shown in FIG. 2 ;
- FIG. 4 is a schematic diagram of a device for combining multiple frequency-offset estimates in a receiver.
- FIG. 5 is a schematic diagram of a device for calculating signal-to-noise ratio estimates.
- the actual frequency of the received signal may, for various reasons, be different from a local frequency used in the receiver to process the received signal, thereby causing a frequency-offset in the receive signal path of the mobile receiver. For instance, frequency shifts in the received radio signal or detuning of the local oscillator of the receiver may account for the generation of such frequency-offset in the receiver.
- a frequency-offset in the receiver significantly impairs the performance of the receiver and may lead to a transmit center-frequency offset that exceeds allowed tolerance levels.
- CDMA Code Division Multiple Access
- UMTS Universal Mobile Telecommunications System
- GSM Global System for Mobile Communications
- Communications systems considered below may be, for example, multi-cell systems or single cell systems comprising multiple transmitters.
- FIG. 1 illustrates basic functional blocks of a receiver, for example, a mobile receiver.
- the receive signal path of the receiver may comprise an amplification stage 1 , a first reception section (RX 1 ) 2 , a received signal strength indicator (RSSI) unit 3 , an automatic gain control (AGC) unit 5 , a second reception section (RX 2 ) 4 , an automatic frequency control (AFC) unit 6 and a data processing unit (DATA) 7 .
- RX 1 first reception section
- RSSI received signal strength indicator
- AGC automatic gain control
- RX 2 second reception section
- AFC automatic frequency control
- DATA data processing unit
- Amplification stage 1 , first reception section 2 , RSSI unit 3 and AGC unit 5 form a feedback loop used for received signal power control. More specifically, amplification stage 1 receives at input 10 an input signal provided by a receiver input.
- the receiver input may be an antenna (not shown) followed by optional circuitry such as filters and/or additional signal preprocessing units.
- the input signal is amplified (e.g., multiplied) by a power control signal connected to the second input 11 of the amplification stage 1 .
- An output of the amplification stage 1 is fed into the first reception section 2 of the receiver.
- the first reception section 2 typically comprises the RF (Radio Frequency) part of the receiver.
- the input signal is down-converted to an intermediate frequency (IF) band or the baseband.
- IF intermediate frequency
- Down-conversion is typically done by a mixer (not shown) which is operated by a local oscillator 8 outputting an oscillator signal of frequency f os .
- the first reception section 2 may comprise filter stages and other signal processing units as known in the art.
- An output signal of the first reception section 2 is fed into the RSSI unit 3 .
- the RSSI unit 3 generates an output 12 which is representative of the signal strength or signal power of the received signal.
- the output 12 of the RSSI unit 3 is coupled to an input of the AGC unit 5 .
- the AGC unit 5 compares the output 12 of the RSSI unit 3 to a target value and generates an amplification control signal 13 in response to the comparison result.
- the amplification control signal 13 is fed into a control input 11 of the amplification stage 1 and thus is used to control the received signal power amplification of the receiver.
- the feedback loop comprising the amplification stage 1 , the first reception section 2 , the RSSI unit 3 and the AGC unit 5 establish a regulation circuit which is operative to adjust the signal power in the received signal data stream at the signal output 14 of the RSSI unit 3 to a fixed, known energy target level Pt′.
- the signal output 14 of the RSSI unit 3 is fed into the second reception section 4 .
- the second reception section 4 of the receiver may comprise a demodulator for reconstructing data samples (also termed symbols in the following) contained in the received signal data stream.
- the second reception section 4 may for instance comprise parts of a RAKE receiver for detection and preprocessing of signal contributions received over different propagation paths of a radio channel.
- the second reception section 4 may be equipped with a descrambling and a despreading stage used for extracting the wanted data and control/pilot signals from the received signal which is a superposition of all data and control signals picked up at the input.
- user signals i.e. logical channels per base station and user
- user signal separation in the receiver may be performed by despreading the received signal.
- the second reception section 4 provides for separation of signals transmitted from different signal sources such as base stations.
- each signal source uses an individual scrambling code for coding signals to be transmitted. Therefore, separation of signals received from different signal sources in the receiver may be accomplished by descrambling the received signal.
- a user-specific and signal source-specific signal may be provided at an output 15 of the second reception section 4 .
- the output 15 of the second reception section 4 is coupled to an input 16 of the AFC unit 6 and an input 17 of the data processing unit 7 .
- Data processing in the data processing unit 7 may be accomplished according to known techniques in the art (e.g., may comprise de-interleaving, channel-decoding etc.) and will not be described in more detail in the following.
- the symbols r i,m are processed to calculate an overall frequency-offset estimate ⁇ f .
- the overall frequency-offset estimate ⁇ f is used as input for a control unit 9 which generates a frequency control signal f c for adjusting the frequency f os generated by, for example, an oscillator 8 .
- the control unit 9 may be implemented by a look-up table or a conversion function and affects the control response of the frequency closed-loop control circuit, in one embodiment.
- the overall frequency-offset estimate ⁇ f may be used to control the processing of the received signal in the mobile receiver.
- the frequency control signal f c may be input to a frequency correction stage (not shown) instead of oscillator 8 .
- the frequency correction stage may be arranged at any point in the receive signal path between the antenna and the input 17 of the data processing unit 7 .
- Such frequency correction stage may either be located in the analog part or in the digital part of the receiver.
- frequency correction may for instance be performed in the second reception section 4 by means of, for example, a digital frequency correction circuit (not shown).
- analog-to-digital conversion is typically performed in the first reception section 2 of the receiver but may generally be performed at any convenient point in the receive signal path shown in FIG. 1 .
- FIG. 2 illustrates by way of example the design of the AFC unit 6 according to one embodiment.
- the AFC unit 6 comprises a phasor generation unit 100 , an averaging unit (AVG) 101 , a unit 102 computing the squared magnitude of the complex phasors, a divider (DIV) 103 , a combiner 104 and an argument unit 105 .
- the phasor generation unit 100 computes on the basis of the input symbols r i,m complex-valued phasors p i,m . Phasor p i,m may be defined in one embodiment by
- the argument of phasor p i,m i.e. arg(p i,m ), is indicative of a phase shift between actual symbol r i,m and preceding symbol r i ⁇ D,m .
- Phasors p i,m are fed into the averaging unit 101 .
- phasors p i,m are averaged or summed over an averaging length L avg according to
- the averaged phasors p m av may be used twofold, namely for computing frequency-offsets ⁇ f m associated with the symbol streams r i,m and for computing quantities representative of a signal-to-noise ratio associated with the symbol streams r i,m .
- the averaged phasors p m av are fed into the argument unit 105 .
- the averaged phasors p m av are fed into the square unit 102 followed by the divider 103 .
- a quantity C m which relates to the signal-to-noise ratio associated with the symbol stream r i,m is output.
- a quantity related to the signal-to-noise ratio associated with the symbol stream r i,m may be computed on the basis of phasors p i,m .
- a quantity related to the signal-to-noise ratio may be any quantity which is related to the signal-to-noise ratio as a meaningful metric, particularly a quantity which translates into the signal-to-noise ratio by a unique functional relationship.
- the index m is dropped because the computation is identical for symbols from each signal source (e.g. base station) m.
- the energy of the averaged phasor p av is the square of the absolute value of the complex-valued averaged phasor p av and can be written as the sum of the square of the averaged phasor's real and imaginary part, i.e.
- This energy relates to the signal-to-noise ratio of the signal.
- the receiver uses ideal automatic gain control based on RSSI measurements on chip level before base station separation and user separation (e.g., descrambling and despreading). To simplify matters, it is further assumed that all non-wanted signal parts contribute either orthogonally (e.g., are cancelled by despreading) or appear as white Gaussian random noise (such as, for example, signals from base stations on different scrambling codes).
- the following derivation uses the special case of a CDMA receiver.
- the signal energy at the output of the AGC feedback loop is the AGC energy target level, i.e.
- N Pt ′/(1+ SNR )
- a frequency-offset of ⁇ f reduces the average energy per chip E after despreading over L corr values (corresponding to T sym ) to a “degraded” average energy per chip E deg according to
- a degraded signal-to-noise ratio can be defined by
- the squared averaged phasor energy Q can finally be expressed by
- the energy Q of the averaged phasor is proportional to the square of the degraded signal-to-noise ratio SNR deg if L is large enough.
- SNR deg the degraded signal-to-noise ratio
- the range of the degraded signal-to-noise ratio SNR deg is from ⁇ 10 dB to +14 dB. This range should be fully sufficient to provide differentiation between different signal-to-noise ratios of frequency-offset estimates.
- the averaging length L avg may be variable and be chosen to be different for different measurements. For this reason and to further limit the dynamic range of the results, the energy Q of the averaged phasor may be divided by L 2 . This is done in the divider 103 according to
- C is then a quantity representative of the signal-to-noise ratio of the processed signal irrespective of the used average length L avg .
- FIG. 3 illustrates an exemplary embodiment of the combiner 104 .
- Combiner 104 may comprise an optional discarding unit (DISC) 200 , a weighting unit (WG) 210 and an averaging unit (AVG) 220 .
- DISC optional discarding unit
- WG weighting unit
- AVG averaging unit
- the discarding unit 200 is operable to discard frequency estimates ⁇ f m having a degraded signal-to-noise ratio SNR deg lower than a required minimum SNR deg,min .
- the discarding unit 200 may comprise a multiplier 201 , a comparator 202 and a multiplexer 203 .
- the multiplier 201 is configured to compute a threshold value T according to
- the weighting unit 210 may comprise a first multiplier 211 and a second multiplier 212 connected in series.
- the (optional) first multiplier 211 multiplies each value C m by a weighting factor J m , in one embodiment.
- Weighting factor J m may provide for a source-importance weighting adjustment which introduces priorities with respect to the signal content. More specifically, a symbol stream r i,m of one specific signal source (e.g. base station) m may be of higher importance for signal demodulation in the receiver because, for instance, base station m offers a specific service.
- base station m may provide HSDPA (High Speed Downlink Packet Access) in an UMTS communications system. Then, it may be desirable to optimize the frequency adjustment in the receiver such that the compensation of ⁇ f m is favored over the compensation of frequency-offsets ⁇ f m of signals from other signal sources m ⁇ m in order to better exploit the enhanced service HSDPA.
- Source importance weighting as explained above may be for instance accomplished in response to service indicators which are transmitted by the signal sources and which are translated in the receiver into service mode flags (e.g., a HSDPA-mode flag for a base station which offers HSDPA). Then, appropriate weighting values J m are applied based on the activated flags in the receiver. As will be detailed further below, different weighting schemes may be used for J m .
- the second multiplier 212 multiplies the output of the first multiplier 211 by ⁇ f m .
- the weighting unit 210 generates at an output 213 of the second multiplier 212 values J m ⁇ C m ⁇ f m and at an output 214 of the first multiplier 211 values J m ⁇ C m .
- the averaging unit 220 comprises a first accumulator (AC) 221 , a second accumulator (AC) 222 and a divider (DIV) 223 .
- the divider 223 generates the overall frequency-offset ⁇ f according to
- Averaging schemes different from the averaging scheme exemplified above may be employed.
- the overall frequency-offset estimate ⁇ f may be output periodically at a time interval given by L avg .
- both the frequency-offsets ⁇ f m and the quantities C m representative of a signal-to-noise ratio and used as weighting factors are computed on the basis of the same input data and on the basis of a differential phase estimation approach. That way, weighting factors C m include all effects relevant for weighting but not known by external sources and exclude all effects external sources are subject to while the frequency-offset estimates ⁇ f m are not. Further, as the weighting factors C m may be based on the same time interval as the frequency-offset estimates ⁇ f m , errors introduced by non-synchronized weighting factor sources are excluded.
- frequency-offsets ⁇ f m may be beneficial in view of low hardware implementation expenditure and high accuracy.
- frequency-offsets ⁇ f m may also be computed elsewhere in the receiver, i.e. by different algorithms using other signal processing devices not shown in the foregoing. In this case, the argument unit 105 may be omitted.
- the concept of source-importance weighting may be implemented in virtually any combiner independent of how frequency-offset estimates ⁇ f m and quantities representative of the signal-to-noise ratios are established.
- FIG. 4 illustrates a circuitry according to the general concept of source-importance weighting adjustment for an overall frequency-offset ⁇ f calculation.
- Combiner 304 may be similar to combiner 104 as shown in FIG. 3 .
- Optional discarding unit 200 may be omitted.
- Averaging unit 320 may be designed identical to averaging unit 220 .
- Weighting unit 310 may, for example, use signal-to-noise ratios SNR m or values C m for signal quality weighting purposes.
- the signal source-specific frequency-offset estimates ⁇ f m may be provided by different circuitry than shown in FIG. 2 .
- signal source-specific signal-to-noise ratios SNR m communicated to the weighting unit 310 may be computed in a conventional fashion, i.e. not on the basis of a differential phase estimation approach (by using phasors) as explained above, but elsewhere in the receiver.
- weighting of the frequency-offset estimates ⁇ f m with the quantities representative of the signal-to-noise ratios is omitted.
- frequency-offset estimates ⁇ f m are simply weighted by the signal content dependent weighting factors J m .
- the combiner 104 may not receive the quantities C m representative of a signal-to-noise ratio.
- the discarding unit 200 and the multiplier 211 can be omitted and the signal content dependent weighting factors J m may be coupled to the input of the multiplier 212 (which receives at the other input the frequency-offset estimates ⁇ f m ).
- the combiner 304 must not receive the quantities SNR m (which may be represented by the quantities C m in FIG. 3 ).
- Register 330 contains a number of signal source service flags each associated with a specific signal source (e.g., base station) m and indicative of whether the respective signal source m provides a specific service, for instance HSDPA. If a flag has the value 1, the service is provided, and if the flag has the value 0, the service is not provided. Here, signal source m (and probably also other signal sources) provides this service. If the flag has the value 1, multiplexer 340 is controlled to output J>1. Otherwise, if the flag has the value 0, multiplexer 340 outputs the value 1. Thus, if during a communication to multiple signal sources one signal source activates a specific service mode (e.g. HSDPA), the frequency-offset compensation in the receiver is improved for the signal transmitted by signal source m. It is apparent from the above that for different services different values of J may be used in order to differentiate between the importance of a plurality of services.
- a specific service mode e.g. HSDPA
- circuitry for calculating a signal-to-noise ratio is shown in FIG. 5 .
- Such circuitry may be used in virtually any kind of receiver in communications systems, i.e. its use is neither limited to mobile communications systems nor to radio systems. Concerning mobile communication systems, it may be implemented in a base station or in a mobile station or both.
- estimates of signal-to-noise ratio are used by various circuit parts in a receiver. For instance, in a RAKE receiver, outputs of single RAKE fingers can be combined in a combiner using signal-to-noise ratio estimates associated with each finger output (i.e. associated with a component of a signal which is transmitted via a specific propagation path of the radio channel).
- signal-to-noise ratio estimation may, for example, also be used to provide signal-to-noise ratio estimates for a RAKE combiner.
- the circuitry depicted in FIG. 5 comprises a phase-shift estimation unit 400 operative to generate averaged phasors p av from an incoming complex-valued data stream r i .
- the phase-shift estimation unit 400 comprises a phasor generation unit 100 and an averaging unit 101 , which may be designed according to the corresponding units explained above.
- the averaged phasor p av is thus formed according to equation (2) (without index m).
- the averaged phasor p av is representative of a phase-shift that occurred in the input data signal r i over a number L avg of consecutive data samples.
- L avg may be equal to 1 but typically, a greater averaging length is used.
- Phase-shift processing unit 401 comprises a first square (SQR) unit 402 , a second square (SQR) unit 403 , an adder 404 , a root extraction unit 405 and a divider (DIV) 406 .
- the first square unit 402 receives the real part of the averaged phasor p av and its output is connected to a first input of the adder 404 .
- the second square unit 403 receives the imaginary part of the averaged phasor p av and its output is connected to a second input of the adder 404 .
- quantity Q according to equation (3) is calculated.
- Q 1/2 is calculated.
- the square root of Q corresponds to the absolute value of the complex-valued averaged phasor p av and is proportional to the signal-to-noise ratio SNR.
- the signal-to-noise ration SNR is to be calculated according to
- the divider 406 divides the square root of Q by 2 ⁇ Pt s ⁇ L avg and outputs one estimate of signal-to-noise ratio estimate SNR per L avg data samples r i .
- the phase-shift processing unit 401 may e.g. output the result of the adder 404 (optionally divided by L avg 2 ) or the output of the root extraction unit 405 (optionally divided by L avg ), respectively.
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Abstract
Description
- The invention relates to the estimation of an overall frequency-offset on the basis of a plurality of frequency-offset estimates and further to the estimation of a quantity representative of a signal-to-noise ratio. In particular, the invention relates to communications systems and receiver.
- In mobile communication systems a mobile station may be connected to multiple base stations at the same time. In this case, frequency-offset correction in the mobile station is typically not done separately for each base station. Instead, frequency offset correction aims at correcting offsets of the frequency generating device. Usually, only a single device is used as a reference for frequency generation. Therefore, if frequency-offset estimates are obtained by measurement from a plurality of signal sources such as, for example, base stations to which the mobile station is connected, a strategy has to be devised of how to combine these multiple frequency-offset estimates into a single value, i.e. an overall frequency-offset estimate. As the reception performance and transmit frequency offset on the uplink of a mobile station sensitively depends on the compensation of frequency-offsets, an efficient strategy for combining the frequency-offset estimates into a single value is desirable.
- Further, quantities representative of signal-to-noise ratios of signals in a radio receiver are known to be necessary for many applications and are used in a radio receiver for a variety of computations. Therefore, efficient algorithms and circuitry to generate signal-to-noise estimates in a radio receiver are desirable.
- Aspects of the invention are made more evident by way of example in the following detailed description of embodiments when read in conjunction with the attached drawing figures, wherein
-
FIG. 1 is a block diagram showing basic functional blocks of a receiver; -
FIG. 2 is a block diagram of the automatic frequency control unit shown inFIG. 1 ; -
FIG. 3 is a schematic illustration of an embodiment of the combiner shown inFIG. 2 ; -
FIG. 4 is a schematic diagram of a device for combining multiple frequency-offset estimates in a receiver; and -
FIG. 5 is a schematic diagram of a device for calculating signal-to-noise ratio estimates. - In the following description further aspects and embodiments of the present invention are disclosed. In addition, reference is made to the accompanying drawings, which form a part thereof, and in which is shown by way of illustration, one or more examples in which the invention may be practiced. The embodiments herein provide a better understanding of one or more aspects of the present invention. This disclosure of the invention is not intended to limit the features or key-elements of the invention to a specific embodiment. Rather, the different elements, aspects and features disclosed in the embodiments can be combined in different ways by a person skilled in the art to achieve one or more advantages of the present invention. It is to be understood that other embodiments may be utilized and structural or logical changes may be made without departing from the scope of the present invention. The elements of the drawing are not necessarily to scale relative to each other. Like reference numerals designate corresponding similar parts.
- At a receiver, the actual frequency of the received signal may, for various reasons, be different from a local frequency used in the receiver to process the received signal, thereby causing a frequency-offset in the receive signal path of the mobile receiver. For instance, frequency shifts in the received radio signal or detuning of the local oscillator of the receiver may account for the generation of such frequency-offset in the receiver. A frequency-offset in the receiver significantly impairs the performance of the receiver and may lead to a transmit center-frequency offset that exceeds allowed tolerance levels.
- In the following, according to a first embodiment, an improved combining of frequency-offset estimates in a receiver is described. The embodiments described below may be employed in various mobile communications systems, among them CDMA (Code Division Multiple Access) systems such as, for example, UMTS (Universal Mobile Telecommunications System) or mobile communications systems using other types of multiple access schemes, for example, GSM (Global System for Mobile Communications). Communications systems considered below may be, for example, multi-cell systems or single cell systems comprising multiple transmitters.
-
FIG. 1 illustrates basic functional blocks of a receiver, for example, a mobile receiver. The receive signal path of the receiver may comprise anamplification stage 1, a first reception section (RX1) 2, a received signal strength indicator (RSSI)unit 3, an automatic gain control (AGC) unit 5, a second reception section (RX2) 4, an automatic frequency control (AFC)unit 6 and a data processing unit (DATA) 7. -
Amplification stage 1,first reception section 2,RSSI unit 3 and AGC unit 5 form a feedback loop used for received signal power control. More specifically,amplification stage 1 receives atinput 10 an input signal provided by a receiver input. The receiver input may be an antenna (not shown) followed by optional circuitry such as filters and/or additional signal preprocessing units. The input signal is amplified (e.g., multiplied) by a power control signal connected to thesecond input 11 of theamplification stage 1. An output of theamplification stage 1 is fed into thefirst reception section 2 of the receiver. Thefirst reception section 2 typically comprises the RF (Radio Frequency) part of the receiver. Thus, as known in the art, the input signal is down-converted to an intermediate frequency (IF) band or the baseband. Down-conversion is typically done by a mixer (not shown) which is operated by a local oscillator 8 outputting an oscillator signal of frequency fos. Further, thefirst reception section 2 may comprise filter stages and other signal processing units as known in the art. - An output signal of the
first reception section 2 is fed into theRSSI unit 3. The RSSIunit 3 generates anoutput 12 which is representative of the signal strength or signal power of the received signal. Theoutput 12 of theRSSI unit 3 is coupled to an input of the AGC unit 5. The AGC unit 5 compares theoutput 12 of theRSSI unit 3 to a target value and generates anamplification control signal 13 in response to the comparison result. Theamplification control signal 13 is fed into acontrol input 11 of theamplification stage 1 and thus is used to control the received signal power amplification of the receiver. In other words, the feedback loop comprising theamplification stage 1, thefirst reception section 2, theRSSI unit 3 and the AGC unit 5 establish a regulation circuit which is operative to adjust the signal power in the received signal data stream at thesignal output 14 of theRSSI unit 3 to a fixed, known energy target level Pt′. - The
signal output 14 of theRSSI unit 3 is fed into thesecond reception section 4. Thesecond reception section 4 of the receiver may comprise a demodulator for reconstructing data samples (also termed symbols in the following) contained in the received signal data stream. To this end, thesecond reception section 4 may for instance comprise parts of a RAKE receiver for detection and preprocessing of signal contributions received over different propagation paths of a radio channel. Further, thesecond reception section 4 may be equipped with a descrambling and a despreading stage used for extracting the wanted data and control/pilot signals from the received signal which is a superposition of all data and control signals picked up at the input. As known in the art, in CDMA communications systems, user signals (i.e. logical channels per base station and user) are separated by different spreading codes. Thus, user signal separation in the receiver may be performed by despreading the received signal. - Further, the
second reception section 4 provides for separation of signals transmitted from different signal sources such as base stations. In CDMA communications systems, each signal source uses an individual scrambling code for coding signals to be transmitted. Therefore, separation of signals received from different signal sources in the receiver may be accomplished by descrambling the received signal. - In communications systems using other techniques for multi-user access and/or base station identification, it is likewise possible to distinguish between signals which are intended for different users and/or received from different signal sources (e.g., base stations), respectively. In other words, at an
output 15 of thesecond reception section 4, a user-specific and signal source-specific signal may be provided. Such signal may be represented by a stream of complex-valued symbols ri,m associated with the particular mobile station, where i denotes the time index and m identifies the base station, m=1, . . . , M, from which the symbol ri,m has been transmitted. - The
output 15 of thesecond reception section 4 is coupled to aninput 16 of theAFC unit 6 and aninput 17 of the data processing unit 7. Data processing in the data processing unit 7 may be accomplished according to known techniques in the art (e.g., may comprise de-interleaving, channel-decoding etc.) and will not be described in more detail in the following. In theAFC unit 6, the symbols ri,m are processed to calculate an overall frequency-offset estimateΔf . The overall frequency-offset estimateΔf is used as input for a control unit 9 which generates a frequency control signal fc for adjusting the frequency fos generated by, for example, an oscillator 8. Thus, thefirst reception section 2,RSSI unit 3,second reception section 4,AFC unit 6, control unit 9 and oscillator 8 form a frequency closed-loop control circuit which is operable to maintainΔA =0. The control unit 9 may be implemented by a look-up table or a conversion function and affects the control response of the frequency closed-loop control circuit, in one embodiment. In more general terms, the overall frequency-offset estimateΔf may be used to control the processing of the received signal in the mobile receiver. - Various modifications are feasible for implementing the frequency closed-loop control circuit according to the invention. For instance, the frequency control signal fc may be input to a frequency correction stage (not shown) instead of oscillator 8. The frequency correction stage may be arranged at any point in the receive signal path between the antenna and the
input 17 of the data processing unit 7. Such frequency correction stage may either be located in the analog part or in the digital part of the receiver. In the latter case, frequency correction may for instance be performed in thesecond reception section 4 by means of, for example, a digital frequency correction circuit (not shown). In this regard, it is to be noted that analog-to-digital conversion is typically performed in thefirst reception section 2 of the receiver but may generally be performed at any convenient point in the receive signal path shown inFIG. 1 . -
FIG. 2 illustrates by way of example the design of theAFC unit 6 according to one embodiment. TheAFC unit 6 comprises aphasor generation unit 100, an averaging unit (AVG) 101, aunit 102 computing the squared magnitude of the complex phasors, a divider (DIV) 103, acombiner 104 and anargument unit 105. Thephasor generation unit 100 computes on the basis of the input symbols ri,m complex-valued phasors pi,m. Phasor pi,m may be defined in one embodiment by -
p i,m =r i,m ·r i−D,m, (1) - and is the product of symbol ri,m and the conjugate complex of a preceding symbol ri−D,m (associated with the same signal source m). D is an integer and may typically be chosen to be D=1. The argument of phasor pi,m, i.e. arg(pi,m), is indicative of a phase shift between actual symbol ri,m and preceding symbol ri−D,m.
- Phasors pi,m are fed into the averaging
unit 101. In the averaging unit, phasors pi,m are averaged or summed over an averaging length Lavg according to -
- The averaged phasors pm av may be used twofold, namely for computing frequency-offsets Δfm associated with the symbol streams ri,m and for computing quantities representative of a signal-to-noise ratio associated with the symbol streams ri,m.
- To generate an estimate of the frequency-offset Δfm, the averaged phasors pm av are fed into the
argument unit 105.Argument unit 105 calculates the argument—i.e. the phase or angle—of each averaged phasor pm av, which is proportional to the frequency-offset Δfm according to Δfm=arg(pm av)/(2π·Lavg·Tsym). Note that normalizing by the factor (2π·Lavg·Tsym)−1 is not depicted inFIG. 2 . Further note that for D≠1, D·Tsym has to be used instead of Tsym. - To generate quantities representative of the signal-to-noise ratios, the averaged phasors pm av are fed into the
square unit 102 followed by thedivider 103. At the output of thedivider 103, a quantity Cm which relates to the signal-to-noise ratio associated with the symbol stream ri,m is output. - In the following, it is shown that a quantity related to the signal-to-noise ratio associated with the symbol stream ri,m may be computed on the basis of phasors pi,m. A quantity related to the signal-to-noise ratio may be any quantity which is related to the signal-to-noise ratio as a meaningful metric, particularly a quantity which translates into the signal-to-noise ratio by a unique functional relationship. To simplify notation, the index m is dropped because the computation is identical for symbols from each signal source (e.g. base station) m.
- The energy of the averaged phasor pav is the square of the absolute value of the complex-valued averaged phasor pav and can be written as the sum of the square of the averaged phasor's real and imaginary part, i.e.
-
Q=|p av|2 =re(p av)2 +im(p av)2. (3) - This energy relates to the signal-to-noise ratio of the signal. It is assumed that the receiver uses ideal automatic gain control based on RSSI measurements on chip level before base station separation and user separation (e.g., descrambling and despreading). To simplify matters, it is further assumed that all non-wanted signal parts contribute either orthogonally (e.g., are cancelled by despreading) or appear as white Gaussian random noise (such as, for example, signals from base stations on different scrambling codes). The following derivation uses the special case of a CDMA receiver.
- The following notation is used below:
-
- E The wanted-signal energy per chip
- N The noise energy per chip
- SNR=E/N The signal-to-noise ratio on chip-level
- Lcorr Spreading factor (number of chips per symbol)
- Lavg Averaging length for phasors
- Δf frequency-offset
- Tsym Symbol sampling time
- Pt′ AGC energy target level per chip at the output of the AGC feedback loop
- The signal energy at the output of the AGC feedback loop is the AGC energy target level, i.e.
-
Pt′=E+N (4) -
with -
N=Pt′/(1+SNR) -
E=Pt′−N (5) - A frequency-offset of Δf reduces the average energy per chip E after despreading over Lcorr values (corresponding to Tsym) to a “degraded” average energy per chip Edeg according to
-
E deg *L corr 2 =E*|sinc(Δf*T sym)|2 *L corr 2 (6) - For the quality indication of frequency-offset estimates, a degraded signal-to-noise ratio can be defined by
-
SNR deg =E deg /N with SNR deg <SNR (7) - The squared averaged phasor energy Q can finally be expressed by
-
- Pt takes into account any possible power scaling by the
second reception section 4, i.e. may be interpreted as the energy target level per chip downstream of thesecond reception section 4. If thesecond reception section 4 does not introduce any power scaling, Pt=Pt′. - A first approximation of this term can be derived on the basis of the following assumptions:
-
- L*SNRdeg>>2.
- Under these assumptions, equation (8) yields
-
Q=4Pt 2(SNR deg 2 L 2 +L). (9) - A second even simpler approximation is found on the basis of more stringent assumptions:
-
- L*SNRdeg>>2
- L*SNRdeg 2>1
- Under these assumptions, equation (8) yields
-
Q=4Pt 2 L 2 SNR deg 2. (10) - As it is apparent from equation (10), the energy Q of the averaged phasor is proportional to the square of the degraded signal-to-noise ratio SNRdeg if L is large enough. As an example, in UMTS, when using the common pilot channel symbols as input symbol stream ri,m from each base station m, the spreading factor has a fixed value of Lcorr=256. Thus, Lavg may be chosen such that equation (10) is roughly satisfied (note that in many cases not necessarily exact results are required). Using for instance an average length of Lavg=150 corresponding to one UMTS frame, the approximation set out in equation (10) holds for about −34 dB<SNRdeg<−10 dB. Translated from chip-level to symbol-level, the range of the degraded signal-to-noise ratio SNRdeg is from −10 dB to +14 dB. This range should be fully sufficient to provide differentiation between different signal-to-noise ratios of frequency-offset estimates.
- The averaging length Lavg may be variable and be chosen to be different for different measurements. For this reason and to further limit the dynamic range of the results, the energy Q of the averaged phasor may be divided by L2. This is done in the
divider 103 according to -
C=Q/L 2. (11) - As the AGC energy target level Pt′ and thus the scaled energy target level Pt are likely to be fixed values, C is then a quantity representative of the signal-to-noise ratio of the processed signal irrespective of the used average length Lavg.
-
FIG. 3 illustrates an exemplary embodiment of thecombiner 104.Combiner 104 may comprise an optional discarding unit (DISC) 200, a weighting unit (WG) 210 and an averaging unit (AVG) 220. - The discarding
unit 200 is operable to discard frequency estimates Δfm having a degraded signal-to-noise ratio SNRdeg lower than a required minimum SNRdeg,min. To this end, the discardingunit 200 may comprise amultiplier 201, acomparator 202 and amultiplexer 203. Themultiplier 201 is configured to compute a threshold value T according to -
T=4 SNRdeg,min 2Pt2 (12) - in one embodiment, wherein Cm is compared to threshold value T in
comparator 202. If Cm<T, the corresponding frequency-offset Δfm has a low confidence because it has been calculated on the basis of noisy data with a degraded signal-to-noise ratio SNRdeg (which is represented by Cm) lower than the minimum degraded signal-to-noise ration SNRdeg,min. In this case, Cm is set to Cm=0 bymultiplexer 203. It is to be noted that threshold values T different from the threshold value T indicated in equation (12) may be used. - Values of Cm as output by the discarding
unit 200 are input into theweighting unit 210. Theweighting unit 210 may comprise afirst multiplier 211 and asecond multiplier 212 connected in series. The (optional)first multiplier 211 multiplies each value Cm by a weighting factor Jm, in one embodiment. Weighting factor Jm may provide for a source-importance weighting adjustment which introduces priorities with respect to the signal content. More specifically, a symbol stream ri,m of one specific signal source (e.g. base station)m may be of higher importance for signal demodulation in the receiver because, for instance, base stationm offers a specific service. As an example, base stationm may provide HSDPA (High Speed Downlink Packet Access) in an UMTS communications system. Then, it may be desirable to optimize the frequency adjustment in the receiver such that the compensation of Δfm is favored over the compensation of frequency-offsets Δfm of signals from other signal sources m≠m in order to better exploit the enhanced service HSDPA. To this end, Jm is chosen to Jm >1, whereas Jm=1 for m≠m . Source importance weighting as explained above may be for instance accomplished in response to service indicators which are transmitted by the signal sources and which are translated in the receiver into service mode flags (e.g., a HSDPA-mode flag for a base station which offers HSDPA). Then, appropriate weighting values Jm are applied based on the activated flags in the receiver. As will be detailed further below, different weighting schemes may be used for Jm. - The
second multiplier 212 multiplies the output of thefirst multiplier 211 by Δfm. Thus, theweighting unit 210 generates at anoutput 213 of thesecond multiplier 212 values Jm·Cm·Δfm and at anoutput 214 of thefirst multiplier 211 values Jm·Cm. - These
outputs weighting unit 210 are input to theaveraging unit 220. The averagingunit 220 comprises a first accumulator (AC) 221, a second accumulator (AC) 222 and a divider (DIV) 223. Theaccumulators divider 223. Thedivider 223 generates the overall frequency-offsetΔf according to -
- Averaging schemes different from the averaging scheme exemplified above may be employed.
- The overall frequency-offset estimate
Δf may be output periodically at a time interval given by Lavg. For instance, in an UMTS communications system, using as symbols ri,m pilot symbols transmitted via the common pilot channel (CPICH), assuming Lavg=150 yields one value ofΔf per frame (frame duration is 10 ms). - Further, with regard to circuitry design, as signal processing upstream of the averaging
unit 220 is accomplished separately for each signal source m, it is either possible to duplicate the components arranged upstream of the averagingunit 220 or to operate them in a time multiplex cycle running successively over m=1, . . . , M. - In the example described above, both the frequency-offsets Δfm and the quantities Cm representative of a signal-to-noise ratio and used as weighting factors are computed on the basis of the same input data and on the basis of a differential phase estimation approach. That way, weighting factors Cm include all effects relevant for weighting but not known by external sources and exclude all effects external sources are subject to while the frequency-offset estimates Δfm are not. Further, as the weighting factors Cm may be based on the same time interval as the frequency-offset estimates Δfm, errors introduced by non-synchronized weighting factor sources are excluded. Thus, the above scheme for generating weighting factors Cm frequency-offset estimates Δfm may be beneficial in view of low hardware implementation expenditure and high accuracy. However, instead of computing the frequency-offsets Δfm from the averaged phasors Pm av, frequency-offsets Δfm as used by the
combiner 104 may also be computed elsewhere in the receiver, i.e. by different algorithms using other signal processing devices not shown in the foregoing. In this case, theargument unit 105 may be omitted. - According to another embodiment, the concept of source-importance weighting may be implemented in virtually any combiner independent of how frequency-offset estimates Δfm and quantities representative of the signal-to-noise ratios are established.
FIG. 4 illustrates a circuitry according to the general concept of source-importance weighting adjustment for an overall frequency-offsetΔf calculation.Combiner 304 may be similar tocombiner 104 as shown inFIG. 3 . Optional discardingunit 200 may be omitted. Averagingunit 320 may be designed identical to averagingunit 220.Weighting unit 310 may, for example, use signal-to-noise ratios SNRm or values Cm for signal quality weighting purposes. Again, the signal source-specific frequency-offset estimates Δfm may be provided by different circuitry than shown inFIG. 2 . Additionally, signal source-specific signal-to-noise ratios SNRm communicated to theweighting unit 310 may be computed in a conventional fashion, i.e. not on the basis of a differential phase estimation approach (by using phasors) as explained above, but elsewhere in the receiver. - Moreover, it is possible in one embodiment that weighting of the frequency-offset estimates Δfm with the quantities representative of the signal-to-noise ratios is omitted. In this case, frequency-offset estimates Δfm are simply weighted by the signal content dependent weighting factors Jm. Then, the
combiner 104 may not receive the quantities Cm representative of a signal-to-noise ratio. Thus, the discardingunit 200 and themultiplier 211 can be omitted and the signal content dependent weighting factors Jm may be coupled to the input of the multiplier 212 (which receives at the other input the frequency-offset estimates Δfm). As toFIG. 4 , in this case thecombiner 304 must not receive the quantities SNRm (which may be represented by the quantities Cm inFIG. 3 ). -
Register 330 contains a number of signal source service flags each associated with a specific signal source (e.g., base station) m and indicative of whether the respective signal source m provides a specific service, for instance HSDPA. If a flag has thevalue 1, the service is provided, and if the flag has thevalue 0, the service is not provided. Here, signal sourcem (and probably also other signal sources) provides this service. If the flag has thevalue 1,multiplexer 340 is controlled to output J>1. Otherwise, if the flag has thevalue 0,multiplexer 340 outputs thevalue 1. Thus, if during a communication to multiple signal sources one signal source activates a specific service mode (e.g. HSDPA), the frequency-offset compensation in the receiver is improved for the signal transmitted by signal source m. It is apparent from the above that for different services different values of J may be used in order to differentiate between the importance of a plurality of services. - Features relating to the concept of source-importance weighting explained in conjunction with the circuitry shown in
FIG. 4 may be applied in the aforementioned embodiments and vice versa. Further, features relating to the concept of estimating an overall frequency-offsetΔf on the basis of a plurality of frequency-offset estimates Δfm as presented in conjunction withFIGS. 1 to 3 are applicable to the circuitry as shown inFIG. 4 and vice versa. - According to another embodiment of the invention, circuitry for calculating a signal-to-noise ratio is shown in
FIG. 5 . Such circuitry may be used in virtually any kind of receiver in communications systems, i.e. its use is neither limited to mobile communications systems nor to radio systems. Concerning mobile communication systems, it may be implemented in a base station or in a mobile station or both. As known in the art, estimates of signal-to-noise ratio are used by various circuit parts in a receiver. For instance, in a RAKE receiver, outputs of single RAKE fingers can be combined in a combiner using signal-to-noise ratio estimates associated with each finger output (i.e. associated with a component of a signal which is transmitted via a specific propagation path of the radio channel). Thus, signal-to-noise ratio estimation according to this embodiment of the invention may, for example, also be used to provide signal-to-noise ratio estimates for a RAKE combiner. - The circuitry depicted in
FIG. 5 comprises a phase-shift estimation unit 400 operative to generate averaged phasors pav from an incoming complex-valued data stream ri. The phase-shift estimation unit 400 comprises aphasor generation unit 100 and anaveraging unit 101, which may be designed according to the corresponding units explained above. The averaged phasor pav is thus formed according to equation (2) (without index m). As already mentioned, the averaged phasor pav is representative of a phase-shift that occurred in the input data signal ri over a number Lavg of consecutive data samples. Lavg may be equal to 1 but typically, a greater averaging length is used. - The averaged phasors pav are fed into a phase-
shift processing unit 401. Phase-shift processing unit 401 comprises a first square (SQR)unit 402, a second square (SQR)unit 403, anadder 404, aroot extraction unit 405 and a divider (DIV) 406. The firstsquare unit 402 receives the real part of the averaged phasor pav and its output is connected to a first input of theadder 404. The secondsquare unit 403 receives the imaginary part of the averaged phasor pav and its output is connected to a second input of theadder 404. At an output of theadder 404, quantity Q according to equation (3) is calculated. - In
root extraction unit 405, Q1/2 is calculated. The square root of Q corresponds to the absolute value of the complex-valued averaged phasor pav and is proportional to the signal-to-noise ratio SNR. - Provided that the energy level per data sample is Pts, the signal-to-noise ration SNR is to be calculated according to
-
- To this end, the
divider 406 divides the square root of Q by 2·Pts·Lavg and outputs one estimate of signal-to-noise ratio estimate SNR per Lavg data samples ri. - In many cases, it may not be necessary to calculate the signal-to-noise ratio but it may be sufficient to generate a quantity which is proportional to the signal-to-noise ratio SNR or even a quantity which is representative of the signal-to-noise ratio SNR according to a unique functional relationship. In such cases, the phase-
shift processing unit 401 may e.g. output the result of the adder 404 (optionally divided by Lavg 2) or the output of the root extraction unit 405 (optionally divided by Lavg), respectively. - Although specific embodiments have been illustrated and described herein, it will be appreciated by those of ordinary skill in the art, that any arrangement which is calculated to achieve the same purpose may be substituted for the specific embodiments shown. It is to be understood, that the above description is intended to be illustrative and not restrictive. This application is intended to cover any adaptations or variations of the invention. Combinations of the above embodiments and many other embodiments will be apparent to those of skill in the art upon reading and understanding the above description. The scope of the invention includes any other embodiments and applications in which the above structures and methods may be used. The scope of the invention should, therefore, be determined with reference to the appended claims along with the scope of equivalents to which such claims are entitled.
- It is emphasized that the Abstract is provided to comply with 37 C.F.R. section 1.72(b) requiring an abstract that will allow the reader to quickly ascertain the nature and gist of the technical disclosure. It is submitted with the understanding, that it will not be used to interpret or limit the scope or meaning of the claims.
Claims (27)
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DE102008016434.8A DE102008016434B4 (en) | 2007-05-03 | 2008-03-31 | Frequency Offset Estimation |
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US20090290516A1 (en) * | 2008-05-23 | 2009-11-26 | Samsung Electronics Co., Ltd. | Automatic gain control apparatus and method in a wireless communication system |
US20120157162A1 (en) * | 2009-06-02 | 2012-06-21 | St-Ericsson Sa | Process for Computing a Frequency Offset for a UMTS Communication System Based on the CPICH Pilot Signals |
US9331703B1 (en) * | 2014-09-10 | 2016-05-03 | Altera Corporation | Sample rate converter |
CN106452615A (en) * | 2016-09-30 | 2017-02-22 | 维沃移动通信有限公司 | Radio frequency calibration method and mobile terminal |
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US20060251190A1 (en) * | 2005-05-05 | 2006-11-09 | Oki Techno Centre (Singapore) Pte Ltd | Frequency offset estimation for DPSK |
US20070036248A1 (en) * | 2000-08-29 | 2007-02-15 | Nec Corporation | Frequency offset estimator |
US20070140203A1 (en) * | 2003-08-04 | 2007-06-21 | Da Tang Mobile Communciations Equipment Co., Ltd. | Method and device for estimating carrier frequency offset of subscriber terminal |
US7643587B2 (en) * | 2003-12-25 | 2010-01-05 | Sanyo Electric Co., Ltd. | Frequency offset estimating method and frequency offset correcting apparatus utilizing said method |
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US7443826B1 (en) * | 2000-10-04 | 2008-10-28 | Telefonaktiebolaget L M Ericsson (Publ) | Method and apparatus for automatic frequency control in a CDMA receiver |
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2007
- 2007-05-03 US US11/743,983 patent/US7899136B2/en not_active Expired - Fee Related
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- 2008-03-31 DE DE102008016434.8A patent/DE102008016434B4/en not_active Expired - Fee Related
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US20070036248A1 (en) * | 2000-08-29 | 2007-02-15 | Nec Corporation | Frequency offset estimator |
US20070140203A1 (en) * | 2003-08-04 | 2007-06-21 | Da Tang Mobile Communciations Equipment Co., Ltd. | Method and device for estimating carrier frequency offset of subscriber terminal |
US7643587B2 (en) * | 2003-12-25 | 2010-01-05 | Sanyo Electric Co., Ltd. | Frequency offset estimating method and frequency offset correcting apparatus utilizing said method |
US20060251190A1 (en) * | 2005-05-05 | 2006-11-09 | Oki Techno Centre (Singapore) Pte Ltd | Frequency offset estimation for DPSK |
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US20090290516A1 (en) * | 2008-05-23 | 2009-11-26 | Samsung Electronics Co., Ltd. | Automatic gain control apparatus and method in a wireless communication system |
US9001704B2 (en) * | 2008-05-23 | 2015-04-07 | Samsung Electronics Co., Ltd. | Automatic gain control apparatus and method in a wireless communication system |
US20120157162A1 (en) * | 2009-06-02 | 2012-06-21 | St-Ericsson Sa | Process for Computing a Frequency Offset for a UMTS Communication System Based on the CPICH Pilot Signals |
US8255000B2 (en) * | 2009-06-02 | 2012-08-28 | St-Ericsson Sa | Process for computing a frequency offset for a UMTS communication system based on the CPICH pilot signals |
US9331703B1 (en) * | 2014-09-10 | 2016-05-03 | Altera Corporation | Sample rate converter |
CN106452615A (en) * | 2016-09-30 | 2017-02-22 | 维沃移动通信有限公司 | Radio frequency calibration method and mobile terminal |
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DE102008016434A1 (en) | 2008-12-24 |
DE102008016434B4 (en) | 2014-10-16 |
DE102008064822B3 (en) | 2014-12-18 |
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